{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Figure 5: Spectra of the top sources\n",
    "In this notebook, we provide the code to reproduce Figure 5 of the paper \"Evidence for Neutrino Emission from X-ray Bright Active Galactic Nuclei with IceCube\"."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pickle\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib as mpl\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "plt.rcParams.update({\n",
    "    'text.usetex': True, # Comment out if matplotlib complains\n",
    "    'font.family': 'serif',\n",
    "    'font.size': 12,\n",
    "    'text.latex.preamble': r'\\usepackage{newtxtext,newtxmath}', # Comment out if matplotlib complains\n",
    "    'axes.labelsize': 'x-large',\n",
    "    'axes.labelpad':10,\n",
    "    'lines.linewidth': 3,\n",
    "    'lines.markersize': 10,\n",
    "    'xtick.labelsize':'x-large',\n",
    "    'ytick.labelsize':'x-large',\n",
    "    'legend.fontsize': 'x-large',\n",
    "    'legend.frameon': False,\n",
    "})\n",
    "\n",
    "# Other specific plotting settings\n",
    "lw = 1.2\n",
    "alpha=.5\n",
    "\n",
    "color_astro  = '#DAA21C'\n",
    "\n",
    "sources = {\n",
    "    r'NGC\\,1068': ['NGC1068', '#4682B4'],\n",
    "    r'NGC\\,7469': ['NGC7469', '#003366'],\n",
    "    r'NGC\\,4151': ['NGC4151', '#F08080'],\n",
    "    r'CGCG\\,420-015': ['CGCG420-015', '#C01B3C']}\n",
    "\n",
    "# Conversion factors\n",
    "GeV2TeV = 1e-3\n",
    "allflavor_factor = 3 # Convert to all-flavor flux assuming flavor equipartition"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Load file with the broken power-Law diffuse spectrum (https://arxiv.org/pdf/2507.22233)\n",
    "bpl_df = pd.read_csv(\"./bpl_butterfly.csv\" )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "E = np.logspace(3, 8, 1000)\n",
    "\n",
    "# Plot diffuse\n",
    "ax.plot(bpl_df['x'], \n",
    "        bpl_df['uncertainty_lower']* GeV2TeV * allflavor_factor * 4*np.pi,\n",
    "        color=color_astro, lw=lw)\n",
    "ax.plot(bpl_df['x'], \n",
    "        bpl_df['uncertainty_upper']* GeV2TeV * allflavor_factor * 4*np.pi,\n",
    "        color=color_astro, lw=lw)\n",
    "ax.fill_between(bpl_df['x'],\n",
    "                bpl_df['uncertainty_lower']* GeV2TeV * allflavor_factor * 4*np.pi,\n",
    "                bpl_df['uncertainty_upper']* GeV2TeV * allflavor_factor * 4*np.pi,\n",
    "                edgecolor='None',\n",
    "                alpha=alpha,\n",
    "                color=color_astro,\n",
    "                label=r'Diffuse Astro. $\\nu$',\n",
    "                )\n",
    "\n",
    "# Plot top 4 X-ray bright AGN\n",
    "for name, src in sources.items():\n",
    "    with open(f'./{src[0]}_bowtie.pkl', 'rb') as of:\n",
    "        bowtie = pickle.load(of)\n",
    "        \n",
    "    ax.plot(bowtie['E_band'], np.asarray(bowtie['Fmin_Fmax'][0])*allflavor_factor, color=src[1], lw=lw, zorder=100)\n",
    "    ax.plot(bowtie['E_band'], np.asarray(bowtie['Fmin_Fmax'][1])*allflavor_factor, color=src[1], lw=lw, zorder=100)\n",
    "    ax.fill_between(bowtie['E_band'], \n",
    "                    np.asarray(bowtie['Fmin_Fmax'][0])*allflavor_factor, \n",
    "                    np.asarray(bowtie['Fmin_Fmax'][1])*allflavor_factor, color = src[1], alpha = alpha,\n",
    "                    label=name, lw=lw)\n",
    "    \n",
    "# Formatting\n",
    "ax.grid(which='major', ls=\":\")\n",
    "ax.set_xlabel(r'$\\mathrm{E}_{\\nu}\\ [\\mathrm{GeV}]$')\n",
    "ax.set_ylabel(r'$E^2 \\phi(E)\\ [\\mathrm{TeV cm^{-2} s^{-1}}]$')\n",
    "ax.set_xscale('log')\n",
    "ax.set_yscale('log')\n",
    "ax.set_xlim(1e2, 1e7)\n",
    "ax.set_ylim(8e-16, 1e-8)\n",
    "ax.set_xticks(np.logspace(2,7,6))\n",
    "ax.set_yticks(np.logspace(-15,-7,5))\n",
    "ax.xaxis.set_minor_locator(mpl.ticker.NullLocator())\n",
    "\n",
    "# Legend\n",
    "handles, labels = ax.get_legend_handles_labels()\n",
    "handles = handles[:3] + [handles[-1]] + handles[3:4]\n",
    "labels = labels[:3] + [labels[-1]] + labels[3:4]\n",
    "plt.legend(handles, labels, ncol=1,\n",
    "           frameon=False,  bbox_to_anchor=(1,1),\n",
    "           loc='upper left', labelspacing=1)\n",
    "           \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Publications",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.13.11"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
